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Finding the Third Proportional to 292,224 and 628,146.75

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Solution

The third proportional to 292,224 and 628,146.75 is: 1,350,225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,224 : 628,146.75 = 628,146.75 : x
  2. Step 2: Convert to fraction form
    292,224/628,146.75 = 628,146.75/x
  3. Step 3: Cross multiply
    292,224x = 628,146.75 × 628,146.75
  4. Step 4: Simplify right side
    292,224x = 394,568,339,535.56
  5. Step 5: Solve for x
    x = 394,568,339,535.56/292,224
  6. Step 6: Final answer
    x = 1,350,225.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.